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Finding the Fourth Proportional to 281,402.46, 388,676.21 and 204,800.09

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Solution

The fourth proportional to 281,402.46, 388,676.21 and 204,800.09 is: 282,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,402.46 : 388,676.21 = 204,800.09 : x
  2. Step 2: Convert to fraction form
    281,402.46/388,676.21 = 204,800.09/x
  3. Step 3: Cross multiply
    281,402.46x = 388,676.21 × 204,800.09
  4. Step 4: Simplify right side
    281,402.46x = 79,600,919,821.48
  5. Step 5: Solve for x
    x = 79,600,919,821.48/281,402.46
  6. Step 6: Final answer
    x = 282,872.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.